Jaslyn, Abi, Lynn and Irene received a sum of money. Jaslyn received ³₈ of the total amount of money Abi, Lynn and Irene received. Abi received ¹₅ of the total amount of money Lynn and Irene received. Lynn received ¹₃ as much money as Irene. If Abi received $70 less than Jaslyn, find the total sum of money the 4 girls received.

Jaslyn	Abi	Lynn	Irene	Total
3x3	8x3
	1x4	5x4
		1x5	3x5
9 u	4 u	5 u	15 u	33 u

The total amount that Lynn and Irene have is repeated.  Make the total amount that Lynn and Irene have the same.  LCM of 4 and 5 is 20.

The total amount that Abi, Lynn and Irene have is repeated.  Make the total amount that Abi, Lynn and Irene have the same. LCM of 6 and 8 is 24.

Amount that Abi had less than Jaslyn
= 9 u - 4 u
= 5 u

5 u = 70

1 u = 70 ÷ 5 = 14

Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u 
= 33 u
= 33 x 14
= $462

Answer(s): $462